Atkin-Lehner |
2- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768du |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1763786752 = -1 · 214 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 2 0 7- -3 13- -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1073,-13327] |
[a1,a2,a3,a4,a6] |
j |
-170338000/2197 |
j-invariant |
L |
2.5003671073657 |
L(r)(E,1)/r! |
Ω |
0.4167278512399 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768bt2 10192z2 40768cb2 |
Quadratic twists by: -4 8 -7 |